A box of nails weighs 56 5/8 pounds. If you used 3 3/16 pounds of nails yesterday, and another 7 3/4 pounds today, how many pounds of nails are left?

1 answer

To calculate the weight of nails left, subtract the weights of the nails used from the weight of the box of nails: 56 5/8 pounds - 3 3/16 pounds - 7 3/4 pounds = 56 5/8 pounds - (3*2/16 pounds + 3/16 pounds) - (7*2/4 pounds + 3/4 pounds)
56 5/8 pounds = 56 + 5/8 pounds = 56 + 5*2/16 pounds + 5/8 pounds = 56 + 10/16 pounds + 5/8 pounds = 56 + 10/16 pounds + 10/16 pounds = 56 + 20/16 pounds = 57 4/16 pounds = 57 1/4 pounds
3 3/16 pounds = 56/16 pounds + 3/16 pounds = 59/16 pounds
7 3/4 pounds = 7*2/4 pounds + 3/4 pounds = 14/4 pounds + 3/4 pounds = 17/4 pounds
Weight of nails left = 57 1/4 pounds - 59/16 pounds - 17/4 pounds = 57 1/4 pounds - (3*16/16 pounds + 11/16 pounds) - 68/16 pounds = 57 1/4 pounds - 48/16 pounds - 68/16 pounds = 57 1/4 pounds - 116/16 pounds = 57 pounds - 8/16 pounds = 56 8/16 pounds = 56 1/2 pounds
There are 56 1/2 pounds of nails left. Answer: \boxed{56\frac{1}{2}}.